Which function is a quadratic function
Answer:
[tex]p(x)=-5x-x^2[/tex]
C is correct
Step-by-step explanation:
Quadratic function: A polynomial whose degree is 2 called quadratic function.
Degree = It is highest power of the polynomial.
We have to check the degree of each option.
Option 1: [tex]c(x)=6x+3x^3[/tex]
Degree = 3
Option 2: [tex]d(x)=x-8x^4[/tex]
Degree = 4
Option 3: [tex]p(x)=-5x-x^2[/tex]
Degree = 2
Option 4: [tex]k(x)=2x^2+9x^4[/tex]
Hence, [tex]p(x)=-5x-x^2[/tex] has degree 2. It would be quadratic function.
Shyam invested money in the stock market
What is the amount of space between two points on a line. It is always expressed as a nonnegative number
The amount of space between two points on a line is a distance.
What is a line segment?In Mathematics and Geometry, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.
In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:
[tex]Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
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He minimum and maximum temperature for a day in cupcake town can be modeled by the equation below: 3|x − 8| + 15 = 18 what are the minimum and maximum temperatures for this day?
What equation do you use to find average speed?
Which of the following is always irrational?
A. the sum of two fractions
B. the product of a fraction and a repeating decimal
C. the sum of a terminating decimal and the square root of a perfect square
D. the product of a repeating decimal and the square root of a non-perfect square
Answer:
Correct choice is D
Step-by-step explanation:
Option A. The sum of two fractions is a fraction, a fraction is always rational number.
Option B. The product of a fraction and a repeating decimal can be rational number. For example,
[tex]\dfrac{3}{2}\cdot 0.\overline{3}=\dfrac{3}{2}\cdot \dfrac{1}{3}=\dfrac{1}{2}.[/tex]
Option C. The sum of a terminating decimal and the square root of a perfect square is always rational number, because the terminating decimal is a decimal that ends and the square root of a perfect square is a natural number. The product of decimal that ends and natural number is rational number.
Option D. The product of a repeating decimal and the square root of a non-perfect square is always irrational, because the square root of a non-perfect square is irrational number and when multiplying irrational number by fraction (any repeating decimal can be written as fraction) you get irrational number.
Evaluate a + 6 for a = 10.
a)6
b)16
c)60
Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per minute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute.
At what time will Malory's steps catch up to Dori's steps?
How do you rewrite y+4=-2(x-1) in slope-intercept form
How many factors does the algebraic expression 5xy have?
The algebraic expression 5xy has three factors: the number 5 and the variables x and y. Factors are the multiplicative components of an expression, and factoring involves breaking down expressions into these components.
The algebraic expression 5xy has three factors: the number 5, the variable x, and the variable y. A factor is a number, variable, or a product/quotient of numbers and/or variables separated by + or - signs.
When we are factoring, we are essentially reversing the distributive law and turning the expression into its multiple components, which can also be termed as factors or multiples. For instance, expressions like 5px, 5py, or similar expressions are all made up of factors that, when multiplied together, produce the value of the expression.
When addressing expressions that can be factored, such as ax² +2hxy+by² = 0, we look for expressions that, when evaluated, produce the same value. In this particular example, it can be factored into two linear factors and represents two straight lines intersecting at the origin.
Answer:
The algebraic expression [tex]\(5xy\)[/tex] has [tex]\(8\)[/tex] factors.
Explanation:
The algebraic expression [tex]\(5xy\)[/tex] can be factored as [tex]\(5 \times x \times y\)[/tex]. To find the number of factors, we count all the unique combinations of its prime factors:
- For the factor [tex]\(5\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(5\) or \(1\).[/tex]
- For the factor [tex]\(x\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(x\) or \(1\).[/tex]
- For the factor [tex]\(y\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(y\) or \(1\).[/tex]
Therefore, the total number of factors is the product of the options for each factor, which is [tex]\(2 \times 2 \times 2 = 8\)[/tex]. So, the algebraic expression [tex]\(5xy\)[/tex] has [tex]\(8\)[/tex] factors.
Mr. johnson earns $100,000 per year. each year he spends $70,000 and saves $30,000. he pays a 5 percent sales tax on all of his spending. assuming this is the only tax he pays, his average tax rate out of his income is
Average tax rate out of Mr. Johnsons earning is equals to $3500.
What is tax rate?
" Tax rate is the process of finding the percentage of amount of earnings to be taxed."
According to the question,
Given,
Total money earned by Mr. Johnson per year = $100,000
Every year amount he spend = $70,000
Every year amount he saved = $30,000
Percentage of sales tax on his spending paid by Mr. Johnson = 5%
Average tax rate = 70,000 × ( 5 / 100)
= $3,500
Hence, average tax rate out of Mr. Johnsons earning is equals to $3500.
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Which would hold more milk- a liter or a quart? by how much?
Based on conversion:
1 liter of milk is equivalent to 1.05669 US liquid quart. (1000mL)
While 1 quart of milk is equivalent to 0.946353 liters. (946.353mL)
This concluded that a liter would hold more milk by 0.053647
liters or 53.647 mL.
But if you are talking about an imperial quart, this will hold more milk than a liter. Because its measures 1136 mL which is 136mL bigger than the liter.
A liter holds more milk than a quart by approximately 0.057.
Explanation:A liter holds more milk than a quart.
1 liter is equivalent to approximately 1.057 quarts. Therefore, a liter holds about 0.057 more milk than a quart.
For example, if a quart can hold 4 cups of milk, a liter can hold approximately 4.23 cups of milk.
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What is 6.666666667 as a improper fraction?
To convert 6.666666667 into an improper fraction, identify the whole number part and the repeating decimal part, which correspond to 18/3 and 2/3 respectively. Adding these together results in the improper fraction 20/3.
The questions asks how to express the decimal number 6.666666667 as an improper fraction. To convert a decimal to a fraction, we can identify the repeating part of the decimal, which in this case is '666...'. We know that repeating '6' corresponds to '2/3' in fraction form. To write it as an improper fraction, we first write the non-repeating part which is '6' as '6/1'. Then we add the repeating fraction '2/3' to it after converting '6/1' to have a common denominator of '3' which becomes '18/3'. Adding these gives us '20/3' which is the desired improper fraction.
To put this process into steps:
Identify 6 as the whole number part, which is equivalent to 6/1 or 18/3.Recognize that the repeating decimal .666... is equivalent to 2/3.Add 18/3 and 2/3 to get 20/3, which is the improper fraction form of 6.666666667.ana made 12 rainbow loom bracelets in 3 hours. how many can she make in 15 hours
Write each expression in radical form
a. (10n)3/2
b. a6/5
3/2 and 6/5 are all exponents
the store employee works 35 hours per week,which inequality can be used to find the dollar value x, of weekly sales that the employee must make to earn more than $400 per week
Answer:
35x>400 can be used to find the value of x
Step-by-step explanation:
Here, we have given the information employee works for 35 hours a week
Let, x be the number of hours employee can work
Here it will become 35 x since, he is working for 35 hours
Employee is earning more than $400 per week
The inequality is formed from the given information as below:
35x>400
x>80/7
Therefore, 35x>400 can be used to find the value of x which is giving value of x>80/7
13 1/2 divided by 2 1/4 please help i will mark brainliest
14+3x−7=7x+7−4x14+3x-7=7x+7-4x is always, sometimes or never true.
If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Check all that apply. (Pick more than one)
[] BC ∥ AD
[] BD ⊥ AC
[] BA ≅ CD
[] BE ≅ ED
[] ∠CBA ≅ ∠BCD
If quadrilateral ABCD is an isosceles trapezoid
The true statements among the given options are written below
BC || AD
So option (1) is correct.
AB ≅ DC
So option (3) is correct
∠CBA ≅ ∠BCD
So option (5) is correct.
In an isosceles trapezoid there is one pair of legs of equal length and a pair of parallel lines.
Given that quadrilateral ABCD is a isosceles trapezoid.
We have to check that out of the given options hold good for the isosceles trapezoid
[] BC ∥ AD
[] BD ⊥ AC
[] BA ≅ CD
[] BE ≅ ED
[] ∠CBA ≅ ∠BCD
In the given trapezoid ABCD
BC || AD ( pair of parallel sides )
So option (1) is correct.
AB ≅ DC ( For an isosceles trapezoid legs are equal)
So option (3) is correct
∠CBA ≅ ∠BCD (According to the property of isosceles trapezoid )
So option (5) is correct.
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In a chemistry course, a student scored 99 on one test, 98 on another test, and 88 on each of the other tests. the student’s test average for the course, where each test is weighted equally, is exactly 91. what is the total number of tests that the student has taken in the course?
The total number of tests that the student has taken in the course will be 7.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
In a chemistry course, a student scored 99 on one test, 98 on another test, and 88 on each of the other tests.
Let 'x' be the total number of tests in which he scored 88. Then the equation is given as,
(99 + 98 + 88x) / (2 + x) = 91
197 + 88x = 182 + 91x
91x - 88x = 197 - 182
3x = 15
x = 5
The total number of tests is given as,
Total tests = 2 + 5
Total tests = 7
The total number of tests that the student has taken in the course will be 7.
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What is the average of all integers from 11 to 35?
The average of all integers from 11 to 35 is determined by summing the first and last integers and dividing by 2. The calculation is (11 + 35) / 2, which equals to 23.
Explanation:Calculating the Average of Integers
To calculate the average of all integers from 11 to 35, you sum up all the integers and then divide by the number of integers. Since the numbers form an arithmetic sequence, we can use the formula for the average, which is: (first term + last term) / 2. Therefore, the average is (11 + 35) / 2.
The calculation would then be 46 / 2, which equals 23. This value represents the mean or average of the integer set from 11 to 35. The concept of finding the average is a fundamental aspect of statistics and general mathematics that is commonly applied in various practical scenarios.
The average of all integers from 11 to 35 is 46.
Explanation:To find the average of all integers from 11 to 35, we first calculate the sum of all the integers from 11 to 35. Then, we divide the sum by the total number of integers (i.e., 35 - 11 + 1 = 25). The sum of the integers from 11 to 35 is (11 + 12 + 13 + ... + 35). We can simplify this sum by using the formula for the sum of an arithmetic series: Sn = (n/2)(a + l), where Sn is the sum of the series, n is the number of terms, a is the first term, and l is the last term. Plugging in the values, we get Sn = (25/2)(11 + 35) = 25(46) = 1150. Now, we can find the average by dividing the sum by the total number of integers: Average = 1150/25 = 46. Therefore, the average of all integers from 11 to 35 is 46.
Simplify 7a+(-10)-2a+1
Write this number using digits: four million, ninety-eight thousand, seven hundred sixty-two
Is the function g(x)= - 6x– 5 6 linear or nonlinear?
There are 5 participants in a potato sack race. find the number of orders in which the participants can finish
5 x 4 x 3 x 2 x 1 = 120
120 different ways
How do you solve 1650÷55
-10x+5y=0 -4x-6y=54 find the solution of this system of equations
Algebraic expression of 25 more than a number n
What is the length of BC¯¯¯¯¯
A total of 308 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was three times the number of adult tickets sold. how many adult tickets were sold?
Follow below steps;
The student is asking how many adult tickets were sold for a school play if a total of 308 tickets were sold and the number of student tickets sold was three times the number of adult tickets sold. To solve this problem, we will use algebra to set up an equation.
Let's define x as the number of adult tickets sold. Since the number of student tickets is three times that amount, we can say that 3x represents the number of student tickets sold. The total number of tickets sold is the sum of adult and student tickets, which is given by the equation x + 3x = 308.
To find the value of x, we combine like terms:
x + 3x = 4x4x = 308x = 308 \/ 4x = 77Therefore, the number of adult tickets sold was 77.